Given that 2 = 6.
Which theorem proves that line d is parallel to line e.

Converse of the alternate exterior angle
theorem

Converse of the alternate interior angle
theorem

Alternate Exterior angle theorem

Alternate interior angle theorem

Answer:

Plane EFGH

Step-by-step explanation:

we can see that plane ABCD is on the bottom

and that plane EFGH is on the top

so if the go left and right, they will never touch that is what parallel is

any other plane will intersect or touch eventually

THE VOLUME OF A RECTANGULAR PRISM ID GIVEN BY

[tex]v = l \times b \times h \\ = ( \frac{7}{2} in) \times ( \frac{5}{2} in) \times ( \frac{3}{2} in) \\ \\ v = \frac{35}{2} {in}^{2} \times \frac{3}{2} in \\ v = \frac{105}{2} {in}^{3} \\ v = 52\times \frac{3}{2} {in}^{3} [/tex]

THE FIRST OPTION IS THE ANSWER!!

The relative change is 2%.

In contrast to the reference value, the absolute change's size is expressed as a fraction called the relative change: relative change = absolute change reference value = new value reference value reference value. The absolute change is expressed as a percentage of the value of the indicator in the prior period, or "relative change" expresses the absolute change as such. When measuring indicators in percentage terms, such as the unemployment rate, absolute and relative change principles also apply. To determine the absolute change, subtract the starting value from the ending value. Simply deduct 1,000 from 1,100 to arrive at 100 in the example. The student population increased by 100 pupils throughout the course of the year because this is the absolute change.

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Answer:

85 people were surveyed

Step-by-step explanation:

Let n(X0 represent the number of people who belong in set X

We have 3 sets here
T = set of all people who like tea

C = set of all people who like coffee

M = set of all people who like milk

From the info given

n(T) = 60
n(C) = 45

n(M) = 30

The intersection of the sets are
n(C ∩ T) = 25

n(T ∩ M) = 20

n(C ∩ M) = 15

n(C ∩ T ∩ M) = 10

The number of people who were asked this question is given by

n(T U C U M)

= n(T) +  n(C) + n(M) - n(C ∩ T) - n(T ∩ M) - n(C ∩ M)  + n(C ∩ T ∩ M)

= 60 + 45 + 30 - 25 - 20 - 15 + 10

= 85

Venn Diagram is attached

5

Answer: 145

Step-by-step explanation:

To find the total of the three numbers: 115 x 3 = 345

So the 3rd number must be 345 - 110 -90 = 145

Check the answer= 110 + 90 +145

                                         3

= 115

Based on the trend found in the data set, the x-coordinate that would yield a y-coordinate of 30 is 28

Pick two points from the data set:

(26, 31) and (64, 13)

The slope is:

= Change in y / Change in x

= ( 13 - 31) / (64 - 26)

= -18 / 38

= -9/19

The y-intercept is:

y = mx + b

13 = -9/19(64) + b

b = 43.3

The x-coordinate that gives a y-coordinate of 30 is:

30 = -9/19x + 43.3

x = 28

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Based on the fact that the triangles are similar, the length of x is 7.2 cm and the length of y is 7.4 cm

If the triangles are similar then it means that the difference between their dimensions can be found by a scale factor.

The scale factor is:

= Dimension of larger similar side / Dimension of smaller similar side

= 11.6 / 5.8

= 2

With a scale factor of 2, then x is:

= 3.6 x 2

= 7.2 cm

The value of y would be:

= 14.8 / 2

= 7.4 cm

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If Latisha has $40 in her checking account and she makes a withdrawal of $20 and then writes a check for $40, then she deposits $30, then the amount she has in her checking account is $10

The amount she has in her checking account = $40

The amount she withdraw from her account = $20

The amount she writes a check = $40

The deposited amount = $30

To find the final checking account balance we have to use the arithmetic operations

The final balance amount = The amount she has in her checking account -The amount she withdraw from her account - The amount she writes a check + The deposited amount

= 40-20-40+30

= $10

Hence, by using arithmetic operations, if Latisha has $40 in her checking account and she makes a withdrawal of $20 and then writes a check for $40, then she deposits $30, then the amount she has in her checking account is $10

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1.

(a) 2π - 9

= 2 x 3.142 - 9 = 6.284 - 9

= -2.716

This will be closest to the letter C on the number line.

(b) [tex]\sqrt{3}[/tex]

= 1.732

This will be closest to the letter T on the number line.

(c) [tex]\sqrt[3]{9}[/tex] - 8

= 3-8

= -5

This will be closest to the letter S on the number line.

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Answer:

a) 69 b) -11

Step-by-step explanation:

-8 + 77 or 77 - 8 = 69

-21 + 10 = 11

Answer:

Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.

Equation of line is y = 2/3x + 2

If a case of 24 pairs of the same kind of switches cost a little more than $800. $28 per pair with tax included is not  good estimate of the price  but  $33.33 is the good estimate for the price .

Assuming that the  cost per pair is the amount of $28. Hence, cost of 24 pairs is calculated as:

Cost= $28x24

Cost  = $672.

Based on the above calculation for the cost of 25 pairs we can see that that the  24 pairs of the same kind of switches does not cost more than $800 which implies that $28 is not good estimate for the price.

Now let determine the best estimate of the price with tax included :

Cost = $800/24

Cost = $33.33

Therefore the good estimate for the price with the tax included is $33.33.

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Answer:

4 words per minute

Step-by-step explanation:

In 6 minutes Rite typed 24 words, 24 divided by 6 is 4

The two swimming pools will have same amount of water using this equation, where x represents the time in minutes

3300 - 24x = 3696 - 35x

information given in the question is as follows

the first pool had 3300 liters of water and drains at a rate of 24 liters per minute

the second pool had 3696 liters of water and drains at a rate of 35 liters per minute.

The given information implies that

every minute in x minutes 24x liters of water is drained from the first tank.

3300 - 24x

Similarly, in the second tank in x minutes 35x liters of water in drained from the second tank

3696 - 35x

The tanks will have equal volume of water when the two equations are equal

3300 - 24x = 3696 - 35x

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Using trigonometric functions :

From the problem, we have a hypotenuse of 22.25 cm and an angle of 31°28'

To find A, we will use the sine function :

To find B, we will use the cosine function :

The total length is the sum of A and B :

A + B = 11.615 + 18.978 = 30.59

The answer is 30.59 cm

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

[tex]\cfrac{x}{7}~~ = ~~\cfrac{10}{x}\implies x^2=70\implies x=\sqrt{70}[/tex]

The correct equation that is balanced using the given numbers once is;

5(-1 + (-3)) = (7 * -4) + 8

There are different properties of Algebra such as;

Commutative Property of Addition or multiplication

Associative Property of Addition or multiplication

Distributive Property

Now, from the given numbers, it will be best to use only a positive digit outside the bracket on the left hand side to make it easy to balance on the right hand side. Thus, for the left hand side we will try;

5(-1 + (-3))

When that is solved we will get -20

Now, to balance that on the right hand side , we will have;

(7 * -4) + 8

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The equation of the image is y = 3x - 4

In this question, we have been given a line y = 3x + 2 is reflected in the line y = -1.

We need to find the equation of the image.

The reflected line must be parallel to the line y = 3x + 2

So, the slope of the image must be equal to the slope of the line y = 3x + 2

The y-intercept of the line y = 3x + 2 is (0, 2)

The distance between point (0, 2) and the line y = -1 is 3 units.

So, the y-intercept of the reflected line must be (0, -4)

With slope m = 3 and y-intercept (0, -4) the equation of the line would be,

y = 3x - 4

Therefore, the equation of the image is y = 3x - 4

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For Roberts the equation is:

to we can write it as slope intercept so:

Now we replace x = 5 so

So the two points are ( 0 , -5) and ( 5 , -4)

Fo Hookthe equation is:

In slope intercept is:

so we replace x = 5 so:

So the two points are: ( 0 , 0) and ( 5 , 2 )

For Elizabeth the equation is:

and slope intercept:

now we replace x = 2 so:

So the coordinates are ( 0 , 5) and ( 2, 6 )

And for Silver the equation is:

In slope intercept is:

now we replace x = 1 so:

So the coordinates are: ( 0, -3) and ( 1, 1 )

So now you can made the graph of the lines and find the message.

Answer:

Step-by-step explanation:

Answer:

the length is 99m

Step-by-step explanation:

you have to add 86 to 86 to get 172, subtract 172 from 370 then you have 198 then divide to have  99m the length.

Suppose that $25,200 is invested in a certificate of deposit for 2 years at 11.1 % annual interest to be compounded semi-annually, compound interest will this investment earn is $5,904.8892.

Compound interest, also known as interest on the principal and interest, is the practice of adding interest to the principal amount of a loan or deposit. It occurs when interest is reinvested, or added to loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on principal amount plus any accumulated interest. In the finance and economics, compound interest is common.

In contrast to the simple interest, which does not compound since past interest is not added to the principal for the current period, compound interest allows interest to build over time. The interest per period multiplied by number of periods in a year yields the simple annual interest rate. The nominal interest rate is the another term for the basic annual interest rate (not to be confused with the interest rate not adjusted for inflation, which goes by the same name).

It is known that the compound interest is given as

Compound Interest = [total amount of the principal and interest in future]-[total amount of the principal in present]

                                 =[tex]P(1+i)^{2} - P\\P(1+i)^{2} - 1\\[/tex]

where, p= principal, i= nominal annual interest, n= the number of  the compounding period

Given

P = $25,200

i= 11.1% = 0.111

n= 2

compound interest is

C = 25,200 [[tex](1+0.111)^{2}[/tex]-1]

  = $5,904.8892

The investment will earn the interest of $5,904.8892.

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Answer:

-11 F

Step-by-step explanation:

So we need to just add or decrease the temperature.

-5 + 14

9 - 20

-11

Answer:

-5 + 14 = 9

9 - 20 = -11

the answer is -11°f

A and C because it asks which word is in the square and pentagon, it is the a and the c

Answer:

You can make 22 burgers.

Step-by-step explanation:

If you have 312 pounds of ground beef and burgers are 14 pounds, divide 312 by 14 ( 312 / 14).  This gives you an answer of 22.28 You will have leftovers because 14 does not go into 312 perfectly. You can also check the answer by doing multiplication ( 22 * 14) which gives you 308. You cannot have another burger because 308 + 14 = 322 which is over the amount of beef you have.

Answer: It's $12 an hour.

Step-by-step explanation:

Answer:

write a semi formal letter to your father's friend